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2137583030 = 251119472463
BaseRepresentation
bin111111101101000…
…1110110110110110
312111222020110122212
41333122032312312
513334210124110
6552035453422
7103654104332
oct17732166666
95458213585
102137583030
119a7678850
124b7a57272
13280b1953b
14163c707c2
15c79dce05
hex7f68edb6

2137583030 has 96 divisors (see below), whose sum is σ = 4524111360. Its totient is φ = 719167680.

The previous prime is 2137582987. The next prime is 2137583033. The reversal of 2137583030 is 303857312.

It is a super-2 number, since 2×21375830302 = 9138522420287961800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137583033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4616579 + ... + 4617041.

It is an arithmetic number, because the mean of its divisors is an integer number (47126160).

Almost surely, 22137583030 is an apocalyptic number.

2137583030 is an abundant number, since it is smaller than the sum of its proper divisors (2386528330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2137583030 is a wasteful number, since it uses less digits than its factorization.

2137583030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 2137583030 is about 46234.0029631872. The cubic root of 2137583030 is about 1288.1734118809.

The spelling of 2137583030 in words is "two billion, one hundred thirty-seven million, five hundred eighty-three thousand, thirty".

Divisors: 1 2 5 10 11 19 22 38 47 55 94 95 110 190 209 235 418 463 470 517 893 926 1034 1045 1786 2090 2209 2315 2585 4418 4465 4630 5093 5170 8797 8930 9823 10186 11045 17594 19646 21761 22090 24299 25465 41971 43522 43985 48598 49115 50930 83942 87970 96767 98230 108805 121495 193534 209855 217610 239371 242990 413459 419710 461681 478742 483835 826918 923362 967670 1022767 1196855 2045534 2067295 2308405 2393710 4134590 4548049 4616810 5113835 9096098 10227670 11250437 19432573 22500874 22740245 38865146 45480490 56252185 97162865 112504370 194325730 213758303 427516606 1068791515 2137583030